22106739439200 has 1152 divisors, whose sum is σ = 83717861713920. Its totient is φ = 5018517504000.

The previous prime is 22106739439181. The next prime is 22106739439219. The reversal of 22106739439200 is 293493760122.

It is an interprime number because it is at equal distance from previous prime (22106739439181) and next prime (22106739439219).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22106739439200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5740517275 + ... + 5740521125.

It is an arithmetic number, because the mean of its divisors is an integer number (72671754960).

Almost surely, 2^{22106739439200} is an apocalyptic number.

22106739439200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22106739439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41858930856960).

22106739439200 is an abundant number, since it is smaller than the sum of its proper divisors (61611122274720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22106739439200 is a wasteful number, since it uses less digits than its factorization.

22106739439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 22106739439200 in words is "twenty-two trillion, one hundred six billion, seven hundred thirty-nine million, four hundred thirty-nine thousand, two hundred".